(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ = 
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer: 52.77876 in
Explanation: C=2πr=2·π·8.4≈52.77876 in
Answer:
the volume is 196
Step-by-step explanation:
17x8=136
6x10=60
136+60=196
Answer:
90-90.000 or 90-100
Step-by-step explanation:
Answer:
The deepest that Amy dove below the ocean's surface is 5 feet.
Step-by-step explanation:
Let the deepest that Amy dove below the ocean's surface be x.
7x = 35
<u>x = 5 ft</u>
